Pith Number

pith:3M6GIHLH

pith:2016:3M6GIHLHYYR22G7CQLXQOHINUX

not attested not anchored not stored refs pending

Linear extension operators between spaces of Lipschitz maps and optimal transport

Daniele Puglisi, Luigi Ambrosio

arxiv:1609.01450 v1 · 2016-09-06 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3M6GIHLHYYR22G7CQLXQOHINUX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:05:39.539822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3c641d67c623ad1be282ef071d0da5cf2a6fe4e619c987cda1f09e5f29b3a0

Aliases

arxiv: 1609.01450 · arxiv_version: 1609.01450v1 · doi: 10.48550/arxiv.1609.01450 · pith_short_12: 3M6GIHLHYYR2 · pith_short_16: 3M6GIHLHYYR22G7C · pith_short_8: 3M6GIHLH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3M6GIHLHYYR22G7CQLXQOHINUX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: db3c641d67c623ad1be282ef071d0da5cf2a6fe4e619c987cda1f09e5f29b3a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "903947f5d002004e186771a3bd80c328f8db626168d6ce92434528128df00087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-06T09:17:28Z",
    "title_canon_sha256": "15f1368f06f7adcaac3d7bbc251a28d5a3817470ba079725424b42b255893edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01450",
    "kind": "arxiv",
    "version": 1
  }
}